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A gang capacitor is formed by inter lock...

A gang capacitor is formed by inter locking a number of plates as shown in the figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is `5 cm^(2)`. The capacity of the unit is

A

1.06 pF

B

4 pF

C

6.36 pF

D

12.72 pF

Text Solution

Verified by Experts

The correct Answer is:
B
The given arrangement of nine plates is equivalent to the parallel combination of 8 capacitors.
the capacity of each capacitor,
`C=(epsi_(0)A)/(d)`
`=(8.854xx10^(-12)xx5xx10^(-4))/(0.885xx10^(-2))=0.5pF`
Hence, the capacity of 8 capacitors.
`=8C=8xx0.5=4pF`
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